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Finding the Third Proportional to 284.61 and 432.84

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Solution

The third proportional to 284.61 and 432.84 is: 658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.61 : 432.84 = 432.84 : x
  2. Step 2: Convert to fraction form
    284.61/432.84 = 432.84/x
  3. Step 3: Cross multiply
    284.61x = 432.84 × 432.84
  4. Step 4: Simplify right side
    284.61x = 187,353.71
  5. Step 5: Solve for x
    x = 187,353.71/284.61
  6. Step 6: Final answer
    x = 658.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.